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Finding the Third Proportional to 80,892 and 170,160

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Solution

The third proportional to 80,892 and 170,160 is: 357,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,892 : 170,160 = 170,160 : x
  2. Step 2: Convert to fraction form
    80,892/170,160 = 170,160/x
  3. Step 3: Cross multiply
    80,892x = 170,160 × 170,160
  4. Step 4: Simplify right side
    80,892x = 28,954,425,600
  5. Step 5: Solve for x
    x = 28,954,425,600/80,892
  6. Step 6: Final answer
    x = 357,939.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.